Logo

Notes on the Atiyah-Singer Index Theorem

Small book cover: Notes on the Atiyah-Singer Index Theorem

Notes on the Atiyah-Singer Index Theorem
by

Publisher: University of Notre Dame
Number of pages: 135

Description:
This is arguably one of the deepest and most beautiful results in modern geometry, and it is surely a must know for any geometer / topologist. It has to do with elliptic partial differential operators on a compact manifold.

Home page url

Download or read it online for free here:
Download link
(860KB, PDF)

Similar books

Book cover: Ricci-Hamilton Flow on SurfacesRicci-Hamilton Flow on Surfaces
by - Tsinghua University
Contents: Ricci-Hamilton flow on surfaces; Bartz-Struwe-Ye estimate; Hamilton's another proof on S2; Perelman's W-functional and its applications; Ricci-Hamilton flow on Riemannian manifolds; Maximum principles; Curve shortening flow on manifolds.
(10346 views)
Book cover: Geometric Wave EquationsGeometric Wave Equations
by - arXiv
We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed.
(11515 views)
Book cover: Projective Differential Geometry Old and NewProjective Differential Geometry Old and New
by - Cambridge University Press
This book provides a route for graduate students and researchers to contemplate the frontiers of contemporary research in projective geometry. The authors include exercises and historical comments relating the basic ideas to a broader context.
(18401 views)
Book cover: Lectures on Exterior Differential SystemsLectures on Exterior Differential Systems
by - Tata Institute of Fundamental Research
Contents: Parametrization of sets of integral submanifolds (Regular linear maps, Germs of submanifolds of a manifold); Exterior differential systems (Differential systems with independent variables); Prolongation of Exterior Differential Systems.
(12905 views)